Classical mechanics energy

  • Thread starter blarggg
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Homework Statement


At t0 = 0 a particle of mass m is released from rest at x0 = b > 0 away from a fixed origin of force that attracts the particle according to the law:
F=-k/x^3
where k >0 is a constant. At what time the particle will reach the force center x =0?

Homework Equations



I honestly tried to format the equations and stuff in here but i cant get it so its problem 3 on this pdf http://www.physics.uci.edu/~sasha/courses_files/111A/Fall10/hmw3.pdf [Broken]

The Attempt at a Solution



well for U i got k/(2x^2)-k/2x0^2)

but i have no idea how i would integrate the t equation with that in place of U, and even that doesnt make sense because then at x=x0. potential would be zero and that cant be right
 
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Answers and Replies

  • #2
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If your U is the same as on the problem sheet, this is not correct.
What is the potential resulting in this force?
Try separation of variables to solve the differential equation.
 

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